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Finding the Fourth Proportional to 853,722, 1,178,119.92 and 471,740.52

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Solution

The fourth proportional to 853,722, 1,178,119.92 and 471,740.52 is: 650,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,722 : 1,178,119.92 = 471,740.52 : x
  2. Step 2: Convert to fraction form
    853,722/1,178,119.92 = 471,740.52/x
  3. Step 3: Cross multiply
    853,722x = 1,178,119.92 × 471,740.52
  4. Step 4: Simplify right side
    853,722x = 555,766,903,683.16
  5. Step 5: Solve for x
    x = 555,766,903,683.16/853,722
  6. Step 6: Final answer
    x = 650,992.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.